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Bounds for Radii of Starlikeness of Some q-Bessel Functions

dc.contributor.authorAktas, Ibrahim
dc.contributor.authorBaricz, Arpad
dc.date.accessioned2021-11-09T19:48:54Z
dc.date.available2021-11-09T19:48:54Z
dc.date.issued2017
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.urihttps://doi.org/10.1007/s00025-017-0668-6
dc.identifier.urihttps://hdl.handle.net/20.500.12440/3860
dc.description.abstractIn this paper the radii of starlikeness of Jackson's second and third q-Bessel functions are considered and for each of them three different normalization are applied. By applying Euler-Rayleigh inequalities for the first positive zeros of these functions tight lower and upper bounds for the radii of starlikeness of these functions are obtained. The Laguerre-Polya class of real entire functions plays an important role in this study. In particular, we obtain some new bounds for the first positive zero of the derivative of the classical Bessel function of the first kind.en_US
dc.description.sponsorshipBabes-Bolyai University [GTC-31777]en_US
dc.description.sponsorshipThe research of A. Baricz was supported by a research grant of the Babes-Bolyai University for young researchers with Project Number GTC-31777. The authors are grateful to the referee for his/her useful and constructive comments which enhanced this paper.en_US
dc.language.isoengen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofResults in Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectStarlike functionsen_US
dc.subjectradius of starlikenessen_US
dc.subjectMittag-Leffler expansionsen_US
dc.subjectq-Bessel functionsen_US
dc.subjectzeros of q-Bessel functionsen_US
dc.subjectLaguerre-Polya class of entire functionsen_US
dc.subjectEuler-Rayleigh inequalitiesen_US
dc.subjectlower and upper boundsen_US
dc.titleBounds for Radii of Starlikeness of Some q-Bessel Functionsen_US
dc.typearticleen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.description.wospublicationidWOS:000407495300056en_US
dc.description.scopuspublicationid2-s2.0-85015796588en_US
dc.departmentGümüşhane Üniversitesien_US
dc.authoridAktas, Ibrahim / 0000-0003-4570-4485
dc.identifier.volume72en_US
dc.identifier.issue1-2en_US
dc.identifier.startpage947en_US
dc.identifier.doi10.1007/s00025-017-0668-6
dc.identifier.endpage963en_US
dc.authorwosidBaricz, Arpad / F-3622-2012
dc.authorwosidAktas, Ibrahim / J-2823-2019
dc.authorscopusid56604866800
dc.authorscopusid23388704400


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